User:VectorGraphics/Periodicity

This page covers a framework for thinking of temperaments in terms of JI lattices, independently derived by User:VectorGraphics, Adriaan Fokker, and likely others.

Method

As an example, we will be working in the 5-limit. Octave-equivalence is assumed, so our lattice has 2 dimensions:

Now, the purpose of doing this is now to look for places where stacking intervals gets you close to zero - that is, commas.